Base field 5.5.157457.1
Generator \(a\), with minimal polynomial \( x^{5} - 2 x^{4} - 4 x^{3} + 5 x^{2} + 4 x - 1 \); class number \(1\).
Elliptic curves in class 27.1-d over 5.5.157457.1
Isogeny class 27.1-d contains only one elliptic curve.
Rank
Rank: \( 1 \)Isogeny matrix
\(\left(\begin{array}{r} 1 \end{array}\right)\)